Problem 118 - Prealgebra

Question

In the following exercises, translate each phrase into math notation and then simplify. $$2,719 \text { added to } 682$$

Step-by-Step Solution

Answer

3,401

Step 1: Translate Phrase into Math Notation

The phrase '2,719 added to 682' can be translated into the mathematical expression: 2,719 + 682

Step 2: Perform the Addition

Add the two numbers together: 2,719 + 682 = 3,401

Key Concepts

addition

Addition is one of the basic arithmetic operations. It brings two or more numbers together to make a larger number. It is commonly represented by the plus sign (+).
In our example, we have the phrase '2,719 added to 682'. When we translate this into math notation, it becomes 2,719 + 682.
This means we combine 2,719 and 682 to find out how many we have in total.

math notation

Math notation is a system of symbols used to represent numbers and operations. It allows someone to express mathematical ideas in a concise and universal way.
For instance, the phrase '2,719 added to 682' can be written more compactly as 2,719 + 682. The '+' symbol tells us to perform addition.
Proper math notation helps us avoid misunderstandings and makes calculations clearer. With it, complex problems become easier to manage.

simplification

Simplification is the process of reducing a math expression to its simplest form. It often involves performing all the possible calculations to reach an answer.
In our exercise, translating the phrase into a math expression gave us 2,719 + 682. The next step is to perform the addition to simplify the expression:
When you add 2,719 and 682 together, you get 3,401.
This final number, 3,401, is the simplified form of the original phrase. Simplification helps us better understand and work with math problems.